ABSTRACT

This paper proposes field function to mathematically describe the Raumplan, aiming at being helpful for the building design. Through space thought experiments, three basic principles are established: (1) the key to the sensation of space is whether there is a sense of being marked; (2) the boundary is necessary but not sufficient for the generation of spatial perception; (3) the spatial scale must be comparable to the scale of the observer to create spatial perception. In the Raumplan, the sense of being marked between spaces is determined by the connection between the spaces. Mathematically, the connectivity allows field functions to be represented in the same coordinate system and thus to be comparable. Since the sense of being marked is mutual, there is no special reference space. Each space can be used as a reference space to mark another space, which corresponds to the equal weighting between rooms.

摘要

本文提出场函数对Raumplan进行数学描述，旨在为建筑设计提供帮助。通过空间思想实验，确立了三个基本原则：（1）空间感的关键是是否有被标记的感觉；(2)边界对于空间感知的产生是必要的但不充分的；(3)空间尺度必须与观察者的尺度相当，才能创造空间感知。在Raumplan中，空间之间的标记感是由空间之间的联系决定的。在数学上，连通性允许在同一坐标系中表示场函数，从而具有可比性。由于被标记的感觉是相互的，因此没有特殊的参考空间。